It is a bit ambiguous in this case.
The anime finished before the manga:
Anime finished: August 01, 1996
Manga finished: October 16, 1998
We could not confirm the source content in MangaUpdates.
Here you have all the anime relations we detected ordered by release date, so you can see the reason for this status in context and also use it as watching order.
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Anime - Base
Release date: January 25, 1993
Anime - Sequel
Release date: October 01, 1994
Irresponsible Captain Tylor tells the story of Justy Ueki Tylor, an incredibly ordinary and somewhat self-serving young man.
His ambition is simple: find an easy, comfortable job in the space force, far from the dangers of galactic warfare.
However, fate has other plans when Tylor unexpectedly finds himself embroiled in a hostage crisis and, through a series of improbable events, emerges as a hero.
As a reward (or perhaps a punishment!), he's given command of the Soyokaze, a run-down spacecraft, and a crew of diverse and often difficult personalities.
Now, Captain Tylor must navigate the perils of space, manage his unconventional crew, and somehow avoid triggering an all-out war with the powerful Holy Raalgon Empire, all while maintaining his signature brand of irresponsibility.